Double loop algebras and elliptic root systems

DOI10.1007/S10231-016-0594-3zbMath1365.14051OpenAlexW2486547738MaRDI QIDQ522165

Hiroshi Yamada, Kenji Iohara

Publication date: 13 April 2017

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10231-016-0594-3

zbMATH Keywords

bundleLie algebraroot systeminvariantactioncentral extension

Mathematics Subject Classification ID

Singularities of surfaces or higher-dimensional varieties (14J17) Infinite-dimensional Lie (super)algebras (17B65) Infinite-dimensional Lie groups and their Lie algebras: general properties (22E65) Theta functions and abelian varieties (14K25)

Related Items (1)

The stability manifold of local orbifold elliptic quotients

Cites Work

• Extended affine Lie algebras and their vertex representations
• Period mapping associated to a primitive form
• Towards a Lie theory of locally convex groups
• Extended affine root systems. I: Coxeter transformations
• Infinite-dimensional Lie algebras, theta functions and modular forms
• Central extensions of Lie algebras
• Einfach-elliptische Singularitäten
• Extended affine root systems. III: Elliptic Weyl groups
• Extended affine root system. IV: Simply-laced elliptic Lie algebras
• Lie group theoretical construction of period mapping
• Extended Affine Lie Algebras and Other Generalizations of Affine Lie Algebras – A Survey
• Chevalley's theorem for the complex crystallographic groups
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